| 73× | intervals |
| 28.4s | 293782× | body | 80 | valid |
| 8.1s | 13768× | body | 1280 | valid |
| 5.5s | 17090× | body | 160 | valid |
| 4.3s | 3809× | body | 2560 | valid |
| 3.7s | 2135× | body | 10240 | exit |
| 3.7s | 9428× | body | 640 | valid |
| 2.7s | 100638× | pre | 80 | true |
| 2.5s | 6851× | body | 320 | valid |
| 1.5s | 19285× | body | 80 | nan |
| 263.0ms | 256× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
298 calls:
| 2.1s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.2s | (cbrt (* (* 100.0 (/ (fma 1.0 i (fma n (log 1.0) (* (* i i) (- 0.5 (* 0.5 (log 1.0)))))) i)) n)) |
| 1.0s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 836.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 712.0ms | (cbrt (fma 2.666666666666667 (pow x 6) (fma 8.0 (pow x 3) 8.0))) |
| 104× | rewrite-expression-head |
298 calls:
| 1.6s | (+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.4s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 1.2s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 1.2s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 1.1s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 9881× | times-frac |
| 8509× | *-un-lft-identity |
| 8410× | add-sqr-sqrt |
| 6704× | add-cube-cbrt |
| 4062× | prod-diff |
| 1418× | add-exp-log |
| 1192× | add-cbrt-cube |
| 1038× | distribute-rgt-in distribute-lft-in |
| 948× | sqrt-prod |
| 871× | difference-of-squares |
| 779× | pow1 |
| 764× | associate-*r* |
| 725× | div-inv |
| 628× | add-log-exp |
| 553× | associate-*l* |
| 551× | associate-+r+ |
| 549× | cbrt-prod |
| 457× | distribute-lft-out unpow-prod-down |
| 448× | distribute-lft-out-- |
| 437× | prod-exp |
| 393× | flip3-- frac-times flip-- |
| 389× | associate-+l+ |
| 361× | associate-*l/ |
| 351× | cbrt-unprod |
| 349× | associate-/l* |
| 331× | cbrt-div |
| 326× | associate-*r/ |
| 324× | div-exp |
| 301× | associate-/r* |
| 298× | log1p-expm1-u expm1-log1p-u |
| 296× | cube-prod |
| 280× | associate-/r/ |
| 259× | fma-neg |
| 253× | cbrt-undiv |
| 210× | flip-+ flip3-+ |
| 197× | swap-sqr |
| 184× | pow-prod-down |
| 174× | unswap-sqr |
| 171× | sqr-pow |
| 157× | frac-add |
| 141× | sum-log |
| 129× | fma-def |
| 115× | exp-sum |
| 110× | distribute-rgt-neg-in |
| 106× | frac-sub |
| 94× | distribute-lft-neg-in |
| 92× | unpow3 cube-mult |
| 75× | pow-prod-up |
| 72× | exp-neg sub-neg |
| 68× | *-commutative |
| 67× | clear-num frac-2neg |
| 65× | associate-/l/ |
| 60× | neg-sub0 |
| 59× | sqrt-div pow1/3 |
| 58× | diff-log |
| 54× | exp-diff |
| 48× | pow-plus |
| 43× | pow-sqr |
| 40× | fma-udef |
| 34× | +-commutative |
| 31× | 1-exp rec-exp |
| 29× | pow2 |
| 28× | neg-mul-1 |
| 21× | log-pow log-prod |
| 20× | un-div-inv pow-to-exp pow-exp |
| 19× | div-sub |
| 15× | pow1/2 sqrt-pow1 |
| 14× | rem-sqrt-square unpow2 |
| 13× | exp-prod |
| 12× | pow-unpow |
| 8× | distribute-frac-neg |
| 7× | distribute-lft-neg-out |
| 6× | sqrt-undiv inv-pow pow-flip log-div |
| 5× | associate--l- |
| 4× | associate-+r- rem-cbrt-cube associate--l+ rem-log-exp pow-pow |
| 3× | neg-log pow3 hypot-def associate-+l- associate--r+ |
| 2× | cube-div unsub-neg distribute-rgt-neg-out expm1-udef |
| 1× | rem-cube-cbrt sqrt-unprod expm1-log1p hypot-udef rem-square-sqrt distribute-rgt-out distribute-rgt-out-- sum-cubes distribute-neg-frac |
Total 32.7b remaining (14.2%)
Threshold costs 4.0b (1.8%)
| 12.7b | 50.4% | Compound Interest |
| 6.8b | 39% | Complex division, real part |
| 4.7b | 83.4% | The quadratic formula (r1) |
| 3.0b | 88.5% | The quadratic formula (r2) |
| 1.3b | 0% | Rosa's DopplerBench |